हिंदी

What is the total number of proper subsets of a set consisting of n elements? - Mathematics

Advertisements
Advertisements

प्रश्न

What is the total number of proper subsets of a set consisting of n elements? 

उत्तर

We know that the total number of subsets of a finite set consisting of n elements is 2n
Therefore, the total number of proper subsets of a set consisting of n elements is 2\[-\]1.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Sets - Exercise 1.04 [पृष्ठ १७]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 1 Sets
Exercise 1.04 | Q 11 | पृष्ठ १७

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Identify whether the following is set or not? Justify your answer.

The collection of all months of a year beginning with the letter J.


Identify whether the following is set or not? Justify your answer.

The collection of all boys in your class.


Which of the following collection are sets? Justify your answer: 

 The collection of difficult topics in mathematics.

 


If A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], then insert the appropriate symbol ∈ or ∉ in each of the following blank space: 

−2 ...... A


Describe the following sets in Roster form: 

{x ∈ N : x2 < 25}; 


Describe the following sets in Roster form: 

 {x ∈ N : x = 2nn ∈ N};


Describe the following sets in Roster form: 

 {x ∈ R : x > x}.


Describe the following sets in set-builder form:

B={1,1/2 ,1/3, 1/4,1/5,...........};


Describe the following sets in set-builder form: 

C = {0, 3, 6, 9, 12, ...} 


Describe the following sets in set-builder form: 

 D = {10, 11, 12, 13, 14, 15}; 


Describe the following sets in set-builder form: 

{2, 4, 6, 8 .....}


List all the elements of the following set:

F = {x : x is a letter of the word "MISSISSIPPI"}


Write the set \[\left\{ \frac{1}{2}, \frac{2}{5}, \frac{3}{10}, \frac{4}{17}, \frac{5}{26}, \frac{6}{37}, \frac{7}{50} \right\}\]  in the set-builder form.


Let A = {ab, {cd}, e}. Which of the following statement are false and why?

\[\left\{ a, b, c \right\} \subset A\]


Let A = {{1, 2, 3}, {4, 5}, {6, 7, 8}}. Determine which of the following is true or false: 

\[\phi \in A\] 


Let\[A = \left\{ \phi, \left\{ \phi \right\}, 1, \left\{ 1, \phi \right\}, 2 \right\}\]Which of the following are true? 


Let \[A = \left\{ \phi, \left\{ \phi \right\}, 1, \left\{ 1, \phi \right\}, 2 \right\}\] Which of the following are true?\[\left\{ \left\{ \phi \right\} \right\} \subset A\]

 


Write down all possible subsets of each of the following set: 

 {a


Write down all possible subsets of each of the following set: 

 {0, 1}, 


Write down all possible subsets of each of the following set:

{1, {1}}, 


Write down all possible proper subsets each of the following set: 

{1}. 


Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank space:

10 _____ A


Describe the following set in Set-Builder form

{0}


Write the following interval in Set-Builder form:

[6, 12]


Write the following interval in Set-Builder form

`(6, ∞)`


Select the correct answer from given alternative.

In a city 20% of the population travels by car, 50% travels by bus and 10% travels by both car and bus. Then, persons travelling by car or bus are


State which of the following statement are true and which are false. Justify your answer.

37 ∉ {x | x has exactly two positive factors}


Write the following sets in the roaster from:
B = {x | x2 = x, x ∈ R}


State which of the following statement is true and which is false. Justify your answer.

3 ∉ {x | x4 – 5x3 + 2x2 – 112x + 6 = 0}


State which of the following statements is true and which is false. Justify your answer.

496 ∉ {y | the sum of all the positive factors of y is 2y}.


In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows:
French = 17, English = 13, Sanskrit = 15 French and English = 09, English and Sanskrit = 4 French and Sanskrit = 5, English, French and Sanskrit = 3. Find the number of students who study none of the three languages


Let S = set of points inside the square, T = the set of points inside the triangle and C = the set of points inside the circle. If the triangle and circle intersect each other and are contained in a square. Then ______.


If sets A and B are defined as A = `{(x, y) | y = 1/x, 0 ≠ x ∈ "R"}` B = {(x, y) | y = – x, x ∈ R}, then ______.


The set {x ∈ R : 1 ≤ x < 2} can be written as ______.


If A and B are any two sets, then A – B is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×